document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=461479>Question 461479</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm having trouble with this question... and all my calculators give me the same answer which is none of the ones available. <BR>\n" );
document.write( "Solve the equation \r<BR>\n" );
document.write( "\n" );
document.write( "log(2+x)-log(x-5)=log 4<BR>\n" );
document.write( "answers are  <BR>\n" );
document.write( "A) 7/2 b 22/3 C 22/-3 D 0\r<BR>\n" );
document.write( "\n" );
document.write( "Any help would be appreciated.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #316472 by </B><A HREF=/tutors/aboutme.mpl?userid=graphmatics><B>graphmatics(170)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=graphmatics><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=graphmatics><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=316472\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> log(2+x)-log(x-5)=log 4<BR>\n" );
document.write( "Rules for logarithms says that log(a) - log(b) = log(a/b).<BR>\n" );
document.write( "So we get that<BR>\n" );
document.write( "log((2+x)/(x-5))= log 4<BR>\n" );
document.write( "Clearly<BR>\n" );
document.write( "(2+x)/(x-5) = 4<BR>\n" );
document.write( "2+x = 4*(x-5)<BR>\n" );
document.write( "2+x = 4x - 20<BR>\n" );
document.write( "x-4x = -20 -2<BR>\n" );
document.write( "3x = -22<BR>\n" );
document.write( "x = -22/3<BR>\n" );
document.write( "x = 22/-3 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );